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Answer :
To find out how many kilograms are equal to 72 pounds, you use the given proportion that 1 kilogram is equivalent to 2.2 pounds. Here’s a step-by-step guide to solve the problem:
1. Understand the Conversion: The given proportion is that 1 kilogram equals 2.2 pounds. This means if you have a certain weight in pounds, you can find the equivalent weight in kilograms by dividing the number of pounds by 2.2.
2. Set Up the Equation: You need to convert 72 pounds into kilograms. Set up the equation as follows:
[tex]\[
\text{weight in kilograms} = \frac{\text{weight in pounds}}{\text{conversion rate}}
\][/tex]
3. Substitute the Numbers: In this case, the weight in pounds is 72 and the conversion rate is 2.2:
[tex]\[
\text{weight in kilograms} = \frac{72}{2.2}
\][/tex]
4. Calculate the Result: Perform the division:
[tex]\[
\frac{72}{2.2} \approx 32.72727272727273
\][/tex]
5. Round to the Nearest Tenth: Since the problem asks for the answer rounded to the nearest tenth, you round 32.72727272727273 to get:
[tex]\[
32.7
\][/tex]
Therefore, 72 pounds is approximately 32.7 kilograms when rounded to the nearest tenth. This answer matches the first option: 32.7.
1. Understand the Conversion: The given proportion is that 1 kilogram equals 2.2 pounds. This means if you have a certain weight in pounds, you can find the equivalent weight in kilograms by dividing the number of pounds by 2.2.
2. Set Up the Equation: You need to convert 72 pounds into kilograms. Set up the equation as follows:
[tex]\[
\text{weight in kilograms} = \frac{\text{weight in pounds}}{\text{conversion rate}}
\][/tex]
3. Substitute the Numbers: In this case, the weight in pounds is 72 and the conversion rate is 2.2:
[tex]\[
\text{weight in kilograms} = \frac{72}{2.2}
\][/tex]
4. Calculate the Result: Perform the division:
[tex]\[
\frac{72}{2.2} \approx 32.72727272727273
\][/tex]
5. Round to the Nearest Tenth: Since the problem asks for the answer rounded to the nearest tenth, you round 32.72727272727273 to get:
[tex]\[
32.7
\][/tex]
Therefore, 72 pounds is approximately 32.7 kilograms when rounded to the nearest tenth. This answer matches the first option: 32.7.
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